Answers
Answer:
(angle AFB, angle BFC)
Answer:
angle afc
Step-by-step explanation:
Related Questions
Find the missing side
Answers
Answer:
See below
Step-by-step explanation:
Remember SOHCAHTOA
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
In this case we use TOA.
tan(71) = x/34
x = tan(71) * 34
x = 98.7
HELP PLEASE LAST QUESTION AND I CAN SUBMIT!!! AND NO LINKS OR I WILL REPORT....
c) The height of each cylinder in a set of food-storage containers is 30 cm.
The radius of the largest container is 10 cm.
The volume of the smallest container is one-third the volume of the largest container.
The volume of the middle-sized container is two-thirds the volume of the largest
container. What is the volume of each container?
Answers
Answer:
137 cm. are the volume each con... because of 2 serinemital factors...
Step-by-step explanation:
HOPE IT HELPS!!
Which statement about these two restaurant meals is correct? A. Neither meal contains any nutrients. B. Meal A is the more healthful choice. C. Meal B is the more healthful choice. D. Both meals are healthful choices.
Answers
Answer:
D. Both meals are healthful choices
in a graph, the experimental variable is plotted on the multiple choice x-axis. y-axis. x- and y-axis. z-axis.
Answers
The experimental variable is plotted on the x-axis in a graph, while the y-axis represents the dependent variable or the outcome being measured in response to changes in the independent variable.
In a graph, the experimental variable is typically plotted on the x-axis. The x-axis represents the independent variable, which is the factor being manipulated or controlled by the experimenter. This variable is often plotted horizontally along the bottom of the graph.
The y-axis, on the other hand, represents the dependent variable, which is the outcome or result that is measured or observed in response to changes in the independent variable. The y-axis is typically plotted vertically along the side of the graph.
The x-axis and y-axis together form a Cartesian coordinate system, with the x-axis representing the horizontal axis and the y-axis representing the vertical axis. This allows for the representation of the relationship between the independent and dependent variables in the form of a scatter plot, line graph, bar graph, or other types of graphs.
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Iinear or nonlinear
Answers
Answer:
linear
Step-by-step explanation:
the dots make a straight line
OMLLLL PLS HELP LOLLL OMG!
Diana invests $4000 for two years at a rate of 2.5%. How much interest will she earn?
a
$200
b
$4200
c
$20
d
$2,000
Answers
Answer:
D: $2,000
Step-by-step explanation:
If im wrong contact me at Mousycritter#2842 on discor.d if you seek more help
Show that the characteristic equation of a 2x2 matrix A can beexpressed as
p(λ) = λ2 - tr(A)λ + det(A) = 0, wheretr(A) is the trace of A (sum of diagonal entries). Then use theexpression to prove Cayley-Hamilton Theorem for 2x2 matrices.
Answers
p(A) is equal to the expression we obtained for the characteristic equation. Therefore, p(A) = 0, which verifies the Cayley-Hamilton Theorem for 2x2 matrices.
How to prove a characteristic equation?To prove that the characteristic equation of a 2x2 matrix A can be expressed as p(λ) = λ² - tr(A)λ + det(A) = 0, we'll go through the steps:
Let A be a 2x2 matrix:
A = [a b]
[c d]
The characteristic equation of A is given by:
det(A - λI) = 0,
where I is the identity matrix and λ is the eigenvalue.
Substituting A - λI, we get:
det([a - λ b]
[c d - λ]) = 0.
Expanding the determinant, we have:
(a - λ)(d - λ) - bc = 0.
Simplifying, we get:
ad - aλ - dλ + λ² - bc = 0.
Rearranging the terms, we have:
λ² - (a + d)λ + ad - bc = 0.
We can see that (a + d) is the trace of matrix A, which is tr(A), and ad - bc is the determinant of matrix A, which is det(A). Therefore, the characteristic equation of matrix A can be expressed as:
p(λ) = λ² - tr(A)λ + det(A) = 0.
Now, using the expression p(λ) = λ² - tr(A)λ + det(A) = 0, we can prove the Cayley-Hamilton Theorem for 2x2 matrices.
The Cayley-Hamilton Theorem states that every square matrix satisfies its own characteristic equation. In other words, if p(λ) is the characteristic equation of a matrix A, then p(A) = 0.
Let's consider a 2x2 matrix A:
A = [a b]
[c d]
The characteristic equation of A is given by:
p(λ) = λ² - tr(A)λ + det(A) = 0.
We want to show that p(A) = 0.
Substituting A into the characteristic equation, we get:
p(A) = A² - tr(A)A + det(A)I.
Expanding A², we have:
p(A) = AA - tr(A)A + det(A)I.
Using matrix multiplication, we get:
p(A) = AA - tr(A)A + det(A)I
= AA - (a + d)A + ad - bc × I
= A² - aA - dA + (a + d)A - ad - bc × I
= A² - (a + d)A + ad - bc × I
= A² - tr(A)A + det(A)I.
We can see that p(A) is equal to the expression we obtained for the characteristic equation. Therefore, p(A) = 0, which verifies the Cayley-Hamilton Theorem for 2x2 matrices.
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Give DFA's accepting the following languages over the alphabet {0,1}: a) The set of all strings whose 3rd symbol from the right end is a 0. b) The set of strings such that the number of O's is divisible by 2 and the number of i's divisible by 3.
Answers
a) DFA for the set of all strings whose 3rd symbol from the right end is 0.
Main answer: The DFA for the given set of strings will have six states.
Supporting answer: Let Q = {q0, q1, q2, q3, q4, q5}, and Σ = {0,1} be the set of states and the input alphabets respectively. Let δ be a transition function defined as:δ(qi, 1) = q(i+1)mod6δ(qi, 0) = qi (1 ≤ i ≤ 5) and δ(q5, 1) = q0, δ(q5, 0) = q4.Then, the DFA for the given set of strings will be given by M = (Q, Σ, δ, q0, {q2}), where Q is the set of states, Σ is the input alphabet, δ is the transition function, q0 is the initial state, and {q2} is the set of final states.
b) DFA for the set of strings such that the number of O's is divisible by 2 and the number of i's divisible by 3
Main answer: The DFA for the given set of strings will have six states.
Supporting answer: Let Q = {q0, q1, q2, q3, q4, q5}, and Σ = {0,1} be the set of states and the input alphabets respectively. Let δ be a transition function defined as:δ(qi, 1) = q(i+1)mod6δ(qi, 0) = qi (1 ≤ i ≤ 5) and δ(q5, 1) = q0, δ(q5, 0) = q4Then, the DFA for the given set of strings will be given by M = (Q, Σ, δ, q0, {q0}), where Q is the set of states, Σ is the input alphabet, δ is the transition function, q0 is the initial state, and {q0} is the set of final states.
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The Angels won ten games out of sixteen of their games during the 2009 regular season. At this rate, how many games do they need to win 50 games?
Answers
Answer: 80
10/16=0.625
0.625x80=50
What is 11/12 + ( - 7/12)
Answers
Answer:
1/3
Step-by-step explanation:
11/12 + (-7/12)
11/12 - 7/12 =
4/12 =
1/3
Hope this helps.
A farm produces 35,000 kg of mangoes. They sell the mangoes in boxes of 5kg to the supermarkets. How many boxes can they make ?
Answers
Answer:
7000 boxes
Step-by-step explanation:
The number of boxes can be found by dividing the total quantity by the quantity in each box.
(35000 kg)/(5 kg/box) = 7000 boxes
The farm can fill 7000 boxes with their produce of mangoes.
i just need the answer to the screen shot
Answers
SQUARES BECAUSE THEY ARE IN THE MIDDLE DUMMY
What is the purpose of the conclusion in an opinion essay?
A. to sum up the essay’s key points and reasons
B. to introduce new ideas for readers to think about
C. to suggest reasons why readers should agree with the claim
D. to provide detailed evidence for the essay’s claim
Answers
Answer:
A. To sum up the essay's key points and reasons
Let sine of theta equals the quantity 3 times radical 2 end quantity over 5 and pi over 2 is less than theta is less than pi periodPart A: Determine the exact value of cos 2θ.Part B: Determine the exact value of sine of the quantity theta over 2 end quantity period
Answers
Since
\(\frac{\pi}{2}<\theta<\pi\)θ is in the second quadrant; in such quadrant, the cosine function is negative whereas the sine function is positive.
a) In general,
\(\cos (a+b)=\cos a\cos b-\sin a\sin b\)Thus, in our case,
\(\Rightarrow\cos (2\theta)=\cos (\theta+\theta)=\cos \theta\cdot\cos \theta-\sin \theta\cdot\sin \theta=\cos ^2\theta-\sin ^2\theta\)Furthermore,
\(\begin{gathered} \sin ^2\theta+\cos ^2\theta=1 \\ \Rightarrow\cos ^2\theta=1-\sin ^2\theta \end{gathered}\)In our case,
\(\begin{gathered} \Rightarrow\cos ^2\theta=1-(\frac{3\sqrt[]{2}}{5})^2=1-\frac{18}{25}=\frac{7}{25} \\ \Rightarrow\cos ^2\theta=\frac{7}{25} \\ \Rightarrow\cos 2\theta=\frac{7}{25}-\frac{18}{25}=-\frac{11}{25} \end{gathered}\)Thus, cos(2θ)=-11/25
b) On the other hand,
\(\cos 2x=\cos ^2x-\sin ^2x=(1-\sin ^2x)-\sin ^2x=1-2\sin ^2x\)Set
\(\begin{gathered} \theta=2x \\ \Rightarrow x=\frac{\theta}{2} \end{gathered}\)Therefore,
\(\begin{gathered} \Rightarrow\cos \theta=1-2\sin ^2(\frac{\theta}{2}) \\ \Rightarrow\sin ^2(\frac{\theta}{2})=\frac{1-\cos \theta}{2} \end{gathered}\)We found in part a) that
\(\begin{gathered} \cos ^2\theta=\frac{7}{25} \\ \text{and} \\ \theta\to\text{ in second quadrant} \\ \Rightarrow\cos \theta=-\frac{\sqrt[]{7}}{5} \end{gathered}\)On the other hand, since theta is in the second quadrant, theta/2 is in the first quadrant; thus, sin(theta/2) has to be positive as it is in the first quadrant.
Thus,
\(\begin{gathered} \frac{\theta}{2}\to\text{ first quadrant} \\ \Rightarrow\sin (\frac{\theta}{2})\ge0 \\ \Rightarrow\sin ^2(\frac{\theta}{2})=\frac{1-(\frac{-\sqrt[]{7}}{5})}{2}=\frac{1+\frac{\sqrt[]{7}}{5}}{2} \end{gathered}\)\(\begin{gathered} \Rightarrow\sin (\frac{\theta}{2})=+\sqrt{\frac{1+\frac{\sqrt[]{7}}{5}}{2}} \\ \Rightarrow\sin (\frac{\theta}{2})=\sqrt[]{\frac{1+\frac{\sqrt[]{7}}{5}}{2}}=\sqrt[]{\frac{5+\sqrt[]{7}}{10}} \end{gathered}\)Hence, sin(theta/2)=sqrt((5+sqrt7)/10)
what is the mad for 21, 25, 16, 8, 16, 10
Answers
The mean absolute deviation, mad, of the given data, 21, 25, 16, 8, 16, 10, is 4.83
Calculating Mean Absolute Deviation(MAD)From the question, we are to calculate the mean absolute deviation, mad, of the given data
First, we will calculate the mean of the data
21, 25, 16, 8, 16, 10
Mean = (21 + 25 + 16 + 8 + 16 + 10)/6
Mean = 96/6
Mean = 16
Now, we will determine the positive differences of each number from the mean
Positive differences
21 5
25 10
16 0
8 8
16 0
10 6
Now, we will find the mean of the positive differences
Mean absolute deviation =(5 + 10 + 0 + 8 + 0 + 6)/6
Mean absolute deviation = 29/6
Mean absolute deviation = 4.83
Hence, the mad is 4.83
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Assume that a professor gave an exam to a class of 50 students. the high score was 98 points and the low score was 53 points. the professor wants to create a frequency distribution that is divided into five bins for the exam scores. the approximate bin width for the data is _________ points but you might round up the bin width to _______ for an easier interpretation.
Answers
If for the exam the high score was 98 points and low score was 53 points , then the approximate bin width for the data is 9 points but might round up width to 10 for easier interpretation .
The Class Width for the frequency distribution is defined as the difference between the upper or lower class limits for a consecutive classes in a bin frequency table .
the number of students in the class is = 50 students ,
the high score of the exam was = 98 points ,
the low score of the exam was = 53 points .
the number of bins(classes) = 5 .
the class width is = ( high score - low score)/number of classes ,
class width = (98 - 53)/5
= 45/5
= 9 points .
Therefore , the class width for the data is 9 points .
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Solve for x.
8x-53
Graph the solution.
4
-5
-4 -3
-2
-1
0
1
11∞∞∞∞
2
3
4
LO
5
Answers
The solution for x is 7 and the graph is attached
How to determine the solution for xFrom the question, we have the following parameters that can be used in our computation:
8x - 53 = 3
Add 53 to both sides of the equation
So we have
8x = 56
Divide both sides by 8
So, we have the following representation
x = 7
Hence, the solution is 7
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Complete question
Solve for x.
8x-53 = 3
Graph the solution.
150 students living in Dunedin hostels became sick with the flu over a 3 month period. What measure of occurrence does this statement describe
Answers
The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.
This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students
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What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n? (1 point)
Answers
Answer:
n= 1
Got it right on my test \(￣︶￣*\))
Jackie bought 100 stamps. Each stamp cost $0.37. How much did Jackie spend?
Answers
Q5
QUESTION 5. 1 POINT Find the first five terms of the following sequence, starting with n = Give your answer as a list, separated by commas. an = (−1)"+¹(6n² – 10)
Answers
The first five terms of the sequence are -4, -14, 44, -86 and 140
Calculating the first five terms of the sequenceFrom the question, we have the following sequence notation that can be used in our computation:
aₙ = (-1)ⁿ ⁺ ¹ * (6n² - 10)
Set n = 1 to 5
So, we have the following representation
First term:
a₁ = (-1)¹ ⁺ ¹ * (6(1)² - 10) = -4
Second term:
a₂ = (-1)² ⁺ ¹ * (6(2)² - 10) = -14
Third term:
a₃ = (-1)³ ⁺ ¹ * (6(3)² - 10) = 44
Fourth term:
a₄ = (-1)⁴ ⁺ ¹ * (6(4)² - 10) = -86
Fifth term:
a₅ = (-1)⁵ ⁺ ¹ * (6(5)² - 10) = 140
Hence, the first five terms of the sequence are -4, -14, 44, -86 and 140
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If f(x)=(1)/(3)x-5,g(x)=-4x^(2)-5x+9, and h(x)=(1)/(x-8)+3, find g(-2). Type your exact answer, simplified if necessary, in the empty text box.
Answers
To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.
To find g(-2), substitute -2 for x in the equation
g(x) = -4x² - 5x + 9 to get
g(-2) = -6 + 9g(-2)
We are given three functions as follows:
f(x) = (1/3)x - 5, g(x)
= -4x² - 5x + 9, and
h(x) = 1/(x - 8) + 3.
We are asked to find g(-2), which is the value of g(x) when x = -2.
Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get
g(-2) = -4(-2)² - 5(-2) + 9.
This simplifies to g(-2) = -16 + 10 + 9 = -6.
Hence, g(-2) = -6.
The value of g(-2) is -6.
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PLEASE help plssss no links and silly answers
Answers
Answer:
(H)
Step-by-step explanation:
Less than signs are <
Greater than signs are >
Since in this case x is the number
7 has to be less than x which is x<7
Answer:
f
Step-by-step explanation:
Helpmeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
B)
Step-by-step explanation:
distances:
AB = 6
BC = √4+25 = √29
CD = √0+144 = 12
AD = √5²+4² = √41
Does the tallest can always hold the greatest volume? Explain your answer!
Answers
Alrighty, so, you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.
If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.
The tallest container holds the most liquid. Identical containers can have a different capacity.
A high definition radio station charges $200 membership fee for one year in addition to $50 per month for the first 6 months to receive its broadcast. The total cost for the services is determined by the number of months
Answers
Answer:
300.00$
50$ per month
6 months
50x6
\(\frac{4}{-2} -\frac{3}{-6}\)
Answers
The value of the fraction is 3/-2
What is a fraction?A fraction can simply be described as the part of a whole variable, a whole number or a whole element.
The different types of fractions in mathematics are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have that;
4/-2 - 3/-6
find the lowest common factor
12 - 3/-6
subtract the value, we get;
9/-6
Divide the values into simpler forms
3/-2
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If h is the inverse function of f and if f(x) = , then h'(3) =
Answers
We need to find the inverse of the function f(x) = 1/x. Therefore, h'(3) = -1/\(3^2\) = -1/9. So, h'(3) = -1/9.
In the equation expressing the function, swap out f(x) with y. Swap out x and y. To put it another way, swap out every x for a y and vice versa.
An inverse in mathematics is a function that is used to another function.
Calculate y using a solution.
To find the inverse, we switch the x and y variables and solve for y:
x = 1/y
y = 1/x
So the inverse function of f(x) = 1/x is h(x) = 1/x.
Now, we need to find h'(3), the derivative of h(x) at x = 3.
h(x) = 1/x, so using the power rule of differentiation, we get:
h'(x) = -1/\(x^2\)
Therefore, h'(3) = -\(1/3^2\) = -1/9.
So, h'(3) = -1/9.
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Correct Question:
If h is the inverse function of f and if f(x) = 1/x, then h'(3) =
Does the transformation appear to be a rigid motion? explain.
Answers
The transformation does not appear to be a rigid motion.
The transformation does not change the size or shape of the figure, Therefore, the transformation appears to be a rigid motion. A ^ C A' c. The transformation changes the size of the figure. Therefore, the transformation does not appear to be a rigid motion.
The size of an object is preserved in rigid motion. Consider a piece of paper. It basically has the same shape whether you move it, flip it over, or turn it. It is not a rigid motion because the paper's shape changes as you try to stretch or fold it. It is not a stiff motion because the two circles are different in size.
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g on average, a call center receives calls from customers every 7 minutes, and it takes 15 minutes to finish a call. the system assumes poisson arrivals and exponential service time. the manager's goal is to limit the average customer waiting time to 2 minutes. what is the minimum number of customer services the call center needs to have to achieve this goal
Answers
We would need a minimum of 8 customer service representatives to achieve an average waiting time of 2 minutes.
To determine the minimum number of customer service representatives needed to achieve an average waiting time of 2 minutes, we can use the M/M/1 queuing model formula:
L = λ * Wwhere L is the average number of customers waiting in the queue, λ is the arrival rate (calls per minute), and W is the average time a customer spends waiting in the queue.
First, we need to convert the arrival rate from every 7 minutes to arrivals per minute:
λ = 1/7 = 0.143Next, we need to find the service rate, which is the reciprocal of the service time:
μ = 1/15 = 0.067The utilization factor (ρ) is calculated as the ratio of arrival rate to service rate:
ρ = λ/μ = 0.143/0.067 = 2.134Using Little's Law, we can calculate the average number of customers in the system:
L = λ * WL = ρ/(1 - ρ)L = 2.134/(1 - 2.134) = 2.134/-1.134L ≈ -1.88This negative value implies that the system is unstable and would result in an infinite queue. Therefore, we need to increase the number of customer service representatives to reduce the average waiting time.
Assuming we want to achieve an average waiting time of 2 minutes, we can rearrange the formula to solve for the minimum number of customer service representatives (n):
n = (ρ² + ρ) / (2 * (1 - ρ) * (1 - 2 * ρ * \(e^{(-p/2)}\)))
n ≈ 7.89
Therefore, we would need a minimum of 8 customer service representatives to achieve an average waiting time of 2 minutes.
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